The number 42529
42529 is a composite number with 4 divisors. Its prime factorisation is 71 × 599. Divisors (4): 1, 71, 599, 42529.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42529: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 599, the product of two primes.
- 2
42529 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 42529 itself that is 671, so 42529 is deficient (671 is less than 42529). Euler's totient φ(42529) = 41860 numbers up to 42529 share no factor with it.
- 4
The digits of 42529 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42529 = 71 \times 599 \]
42529 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 41860 |
| Square | 1808715841 |
| Cube | 76922876001889 |
| Square root | 206.225605 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2529 × |
42529 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and twenty-nine |
| Binary (base 2) | 1010011000100001 |
| Octal (base 8) | 123041 |
| Hexadecimal (base 16) | A621 |
| Base 3 | 2011100011 |
| As time | 42529 seconds = 11 h 48 min 49 s |
Is 42529 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42529 a prime number?
No. 42529 = 71 × 599, so it is divisible by 71.
What are the factors of 42529?
1, 71, 599, 42529.
What is 42529 in binary?
1010011000100001 (hexadecimal A621, octal 123041).
What is the square root of 42529?
About 206.2256.
Is 42529 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42529?
42529 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 599, the product of two primes.